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Lattice QCD-2+1

High Energy Physics - Lattice 2009-11-11 v3 Strongly Correlated Electrons High Energy Physics - Theory

Abstract

We consider a 2+1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U in the 1-direction set to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is non-local. Despite this non-locality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds to all orders. Heavy quarks are confined, the spectrum is gapped, and the space-like Wilson loop has area decay.

Keywords

Cite

@article{arxiv.hep-lat/0501026,
  title  = {Lattice QCD-2+1},
  author = {Peter Orland},
  journal= {arXiv preprint arXiv:hep-lat/0501026},
  year   = {2009}
}

Comments

Still Latex, 18 pages, no figures, with some further typographical errors corrected. Version to appear in Phys. Rev. D